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Simplifying -0.1(5x + 4) = 0.04 + -0.01(x + 4) Reorder the terms: -0.1(4 + 5x) = 0.04 + -0.01(x + 4) (4 * -0.1 + 5x * -0.1) = 0.04 + -0.01(x + 4) (-0.4 + -0.5x) = 0.04 + -0.01(x + 4) Reorder the terms: -0.4 + -0.5x = 0.04 + -0.01(4 + x) -0.4 + -0.5x = 0.04 + (4 * -0.01 + x * -0.01) -0.4 + -0.5x = 0.04 + (-0.04 + -0.01x) Combine like terms: 0.04 + -0.04 = 0.00 -0.4 + -0.5x = 0.00 + -0.01x -0.4 + -0.5x = -0.01x Solving -0.4 + -0.5x = -0.01x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.01x' to each side of the equation. -0.4 + -0.5x + 0.01x = -0.01x + 0.01x Combine like terms: -0.5x + 0.01x = -0.49x -0.4 + -0.49x = -0.01x + 0.01x Combine like terms: -0.01x + 0.01x = 0.00 -0.4 + -0.49x = 0.00 Add '0.4' to each side of the equation. -0.4 + 0.4 + -0.49x = 0.00 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -0.49x = 0.00 + 0.4 -0.49x = 0.00 + 0.4 Combine like terms: 0.00 + 0.4 = 0.4 -0.49x = 0.4 Divide each side by '-0.49'. x = -0.8163265306 Simplifying x = -0.8163265306
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